Thermodynamics Miscellaneous


  1. Propane (C3H8) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of CO in the products is___.









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    C3 H8 + xO2 → aCO2 + bH2 O
    Carbon balance: a = 3
    Hydrogen balance: 2b = 8 → b = 4
    Oxygen balance:
    2x = 2a + b

    → x = a +
    b
    = 3 +
    4
    = 5
    22

    For chemical correct or stoichiometric burning, no of moles of O2 required are = 5.
    As it is burnt with 10% deficient oxygen, it will generate CO.
    The new equation is
    C3H8 + 0.9 × 5O2 → CO2 + bCO+ cH2O
    Carbon balance: a + b = 3
    Hydrogen balance: 2c = 8 → c = 4
    Oxygen balance:
    2a + b + c = 0.9 × 5 × 2 = 9
    2a + b + c = 9
    ⇒ 2a + b + c ⇒ 2a + b = 5
    a + b = 3
    By solving these two equations a = 2 and b = 1
    In the exhaust products the no, of moles of CO are 1.% by volume of CO in exhaust,
    =
    b
    × 100 =
    1
    × 100
    a + b + c2 + 1 + 4

    =
    1
    × 100 = 14.29%
    7

    Correct Option: A

    C3 H8 + xO2 → aCO2 + bH2 O
    Carbon balance: a = 3
    Hydrogen balance: 2b = 8 → b = 4
    Oxygen balance:
    2x = 2a + b

    → x = a +
    b
    = 3 +
    4
    = 5
    22

    For chemical correct or stoichiometric burning, no of moles of O2 required are = 5.
    As it is burnt with 10% deficient oxygen, it will generate CO.
    The new equation is
    C3H8 + 0.9 × 5O2 → CO2 + bCO+ cH2O
    Carbon balance: a + b = 3
    Hydrogen balance: 2c = 8 → c = 4
    Oxygen balance:
    2a + b + c = 0.9 × 5 × 2 = 9
    2a + b + c = 9
    ⇒ 2a + b + c ⇒ 2a + b = 5
    a + b = 3
    By solving these two equations a = 2 and b = 1
    In the exhaust products the no, of moles of CO are 1.% by volume of CO in exhaust,
    =
    b
    × 100 =
    1
    × 100
    a + b + c2 + 1 + 4

    =
    1
    × 100 = 14.29%
    7


  1. At the time of starting, idling and low speed operation, the carburettor supplies a mixture which can be termed as









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    Very rich mixture is provided during starting, idling and peak power to ensure burning due to low supply of air, low temperature etc.

    Correct Option: D

    Very rich mixture is provided during starting, idling and peak power to ensure burning due to low supply of air, low temperature etc.



  1. A diesel engine is usually more efficient than a spark ignition engine because









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    NA

    Correct Option: C

    NA


Direction: In a simple Brayton cycle, the pressure ratio is 8 and temperature at the entrance of compressor and turbine are 300 K and 1400 K, respectively. Both compressor and gas turbine have isentropic efficiencies equal to 80%. For the gas, assume a constant value of cp (specific heat at constant pressure) equal to 1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and potential energies.

  1. In a 3-stage air compressor, the inlet pressure is p1, discharge pressure is p4 and the intermediate pressures are p2 and p3 (p2 < p3). The total pressure ratio of the compressor is 10 and the pressure ratios of the stages are equal. If p1 = 100 kPa, the value of the pressure p3 (in kPa) is _______.









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    P2
    =
    P3
    =
    P4
    = 2.1544
    P1P2P3

    P2 = 2.1544 × 100 = 215.44
    P3
    = 2.1544
    P2

    P3 = 2.1544 × 215.44 = 464.15 kPa

    Correct Option: A


    P2
    =
    P3
    =
    P4
    = 2.1544
    P1P2P3

    P2 = 2.1544 × 100 = 215.44
    P3
    = 2.1544
    P2

    P3 = 2.1544 × 215.44 = 464.15 kPa



  1. The thermal efficiency of the cycle in percentage (%) is









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    T4 =
    T3
    = 772.9K
    8.2857

    ηT =
    T3 - T4'
    ⇒ 0.8 =
    1400 - T4'
    T3 - T41400 - 772.9

    ηcycle =
    (WT)actual - (WC)actual
    Qs

    =
    (T3 - T4') - (T2' - T1)
    T3 - T2'

    ηcycle=
    (1400 - 898.32) - (604.3 - 300)
    1400 - 604.3

    = .248 or 24.8%

    Correct Option: A

    T4 =
    T3
    = 772.9K
    8.2857

    ηT =
    T3 - T4'
    ⇒ 0.8 =
    1400 - T4'
    T3 - T41400 - 772.9

    ηcycle =
    (WT)actual - (WC)actual
    Qs

    =
    (T3 - T4') - (T2' - T1)
    T3 - T2'

    ηcycle=
    (1400 - 898.32) - (604.3 - 300)
    1400 - 604.3

    = .248 or 24.8%